Weak automorphisms of linear spaces and of some other abstract algebras
Weak Polynomial Identities for M1,1(E)
* Partially supported by Universita` di Bari: progetto “Strutture algebriche, geometriche e descrizione degli invarianti ad esse associate”.We compute the cocharacter sequence and generators of the ideal of the weak polynomial identities of the superalgebra M1,1 (E).
Weak products of universal algebras
Weak direct products of arbitrary universal algebras are introduced. The usual notion for groups and rings is a special case. Some universal algebraic properties are proved and applications to cylindric and polyadic algebras are considered.
Weakly commutative Lie semigroups.
Weighted matrix eigenvalue bounds on the independence number of a graph.
Weighted trace inequalities of monotonicity.
When are Topologically Equivalent Orthogonal Transformations Linearly Equivalent?
When does the inverse have the same sign pattern as the transpose?
By a sign pattern (matrix) we mean an array whose entries are from the set . The sign patterns for which every real matrix with sign pattern has the property that its inverse has sign pattern are characterized. Sign patterns for which some real matrix with sign pattern has that property are investigated. Some fundamental results as well as constructions concerning such sign pattern matrices are provided. The relation between these sign patterns and the sign patterns of orthogonal matrices...
When powers of a matrix coincide with its Hadamard powers
We characterize matrices whose powers coincide with their Hadamard powers.
Why Jordan algebras are natural in statistics: quadratic regression implies Wishart distributions
If the space of quadratic forms in is splitted in a direct sum and if and are independent random variables of , assume that there exist a real number such that and real distinct numbers such that for any in We prove that this happens only when , when can be structured in a Euclidean Jordan algebra and when and have Wishart distributions corresponding to this structure.
Wiener-Hopf factorization for matrices
Wigner theorems for random matrices with dependent entries: ensembles associated to symmetric spaces and sample covariance matrices.
Wilks' factorization of the complex matrix variate Dirichlet distributions.
In this paper, it has been shown that the complex matrix variate Dirichlet type I density factors into the complex matrix variate beta type I densities. Similar result has also been derived for the complex matrix variate Dirichlet type II density. Also, by using certain matrix transformations, the complex matrix variate Dirichlet distributions have been generated from the complex matrix beta distributions. Further, several results on the product of complex Wishart and complex beta matrices with...
Witt's Theorem for Quadratic Forms over 2-adic Local Rings.